Texture Zero Mass Matrices and Flavor Mixing of Quarks and Leptons

2017 ◽  
pp. 201-207
Author(s):  
Harald Fritzsch
Keyword(s):  
Zero Mass ◽  
Mass Matrices ◽  
Flavor Mixing ◽  
Texture Zero

Texture zero mass matrices and flavor mixing of quarks and leptons

2015 ◽  
Vol 30 (28) ◽  
pp. 1550138 ◽  
Author(s):  
Harald Fritzsch
Keyword(s):  
Experimental Data ◽  
Neutrino Masses ◽  
Mixing Angle ◽  
Mixing Angles ◽  
Zero Mass ◽  
Fermion Masses ◽  
Mass Matrices ◽  
Flavor Mixing ◽  
Texture Zero ◽  
The Masses

We discuss mass matrices with four texture zeros for the quarks and leptons. The three mixing angles for the quarks and leptons are functions of the fermion masses. The results agree with the experimental data. The ratio of the masses of the first two neutrinos is given by the solar mixing angle. The neutrino masses are calculated: [Formula: see text], [Formula: see text] and [Formula: see text].

scholarly journals Neutrino masses and flavor mixing

2015 ◽  
Vol 30 (16) ◽  
pp. 1530012 ◽  
Author(s):  
Harald Fritzsch
Keyword(s):  
Neutrino Oscillations ◽  
Neutrino Masses ◽  
Mixing Angle ◽  
Zero Mass ◽  
Mass Matrices ◽  
Flavor Mixing ◽  
Texture Zero ◽  
The Masses ◽  
Reactor Mixing

We discuss the neutrino oscillations, using texture zero mass matrices for the leptons. The reactor mixing angle θl is calculated. The ratio of the masses of two neutrinos is determined by the solar mixing angle. We can calculate the masses of the three neutrinos: m1 ≈ 0.003 eV , m2 ≈ 0.012 eV , m3 ≈ 0.048 eV .

Texture zero mass matrices and CP violation

2017 ◽  
Vol 32 (16) ◽  
pp. 1742005 ◽  
Author(s):  
Gulsheen Ahuja ◽  
Samandeep Sharma
Keyword(s):  
Cp Violation ◽  
Viable Option ◽  
Weak Basis ◽  
Zero Mass ◽  
Leptonic Sector ◽  
Mass Matrices ◽  
The Standard Model ◽  
Texture Zero ◽  
General Mass ◽  
Invariant Parameter

Within the Standard Model, using the facility of making Weak Basis transformations, attempt has been made to examine the most general mass matrices within the texture zero approach. For the case of quarks, interestingly, one finds a particular set of texture four zero quark mass matrices emerging out to be a unique viable option for the description of quark mixing data as well as for accommodation of CP violation. Similarly, general lepton mass matrices, essentially considered as texture zero mass matrices, yield interesting bounds on the CP violating Jarlskog’s rephasing invariant parameter in the leptonic sector.

scholarly journals LEPTON MIXING AND THE NEUTRINO MIXING ANGLE θ13

2012 ◽  
Vol 27 (14) ◽  
pp. 1250079 ◽  
Author(s):  
HARALD FRITZSCH
Keyword(s):  
Radiative Correction ◽  
Neutrino Oscillations ◽  
Daya Bay ◽  
Neutrino Mixing ◽  
Mixing Angle ◽  
Zero Mass ◽  
Mass Matrices ◽  
Texture Zero

We discuss the neutrino oscillations, using texture zero mass matrices for the leptons, including radiative correction. The neutrino mixing angle θ13 is calculated and agrees with the result of the new Daya Bay experiment.

Texture zero mass matrices and nature of neutrinos

2018 ◽  
Vol 33 (31) ◽  
pp. 1844032
Author(s):  
Gulsheen Ahuja ◽  
Manmohan Gupta
Keyword(s):  
Comparative Study ◽  
Neutrino Mass ◽  
Parameter Space ◽  
Neutrino Masses ◽  
Normal Hierarchy ◽  
Mixing Angles ◽  
Zero Mass ◽  
Mass Matrices ◽  
Texture Zero

For Majorana as well as Dirac neutrinos, attempt has been made to carry out a comparative study of the predictions of Fritzsch-like texture 6, 5 and 4 zero leptonic mass matrices. In particular, considering normal hierarchy of neutrino masses, we have examined how the parameter space available to the mixing angles with respect to the lightest neutrino mass changes for the two types of neutrinos.

scholarly journals FLAVOR MIXING, QUARK MASSES, NEUTRINO MASSES AND NEUTRINO OSCILLATIONS

2010 ◽  
Vol 25 (02n03) ◽  
pp. 597-601 ◽  
Author(s):  
H. FRITZSCH
Keyword(s):  
Neutrino Masses ◽  
Similar Model ◽  
Mixing Angle ◽  
Mixing Angles ◽  
Quark Masses ◽  
Mass Matrices ◽  
Flavor Mixing ◽  
Texture Zero ◽  
Charged Leptons ◽  
The Masses

We discuss first the flavor mixing of the quarks, using the texture zero mass matrices. Then we study a similar model for the mass matrices of the leptons. We are able to relate the mass eigenvalues of the charged leptons and of the neutrinos to the mixing angles and can predict the masses of the neutrinos. We find a normal hierarchy - the masses are 0.004 eV, 0.01 eV and 0.05 eV. The atmospheric mixing angle is given by the mass ratios of the charged leptons and the neutrinos. We find about 40°, consistent with the experiments. The mixing element, connecting the first neutrino with the electron, is predicted to be 0.05. This prediction can soon be checked by the Daya Bay experiment.

scholarly journals Phenomenology of two-texture zero neutrino mass matrices

2007 ◽  
Vol 76 (1) ◽  
Author(s):  
S. Dev ◽  
Sanjeev Kumar ◽  
Surender Verma ◽  
Shivani Gupta
Keyword(s):  
Neutrino Mass ◽  
Mass Matrices ◽  
Texture Zero

scholarly journals A String-Inspired Ansatz for Quark Masses and Mixing

1997 ◽  
Vol 12 (08) ◽  
pp. 561-571 ◽  
Author(s):  
Tatsuo Kobayashi ◽  
Zhi-Zhong Xing
Keyword(s):  
Quark Mass ◽  
Fine Tuning ◽  
Superstring Theory ◽  
Quark Masses ◽  
Gauge Symmetries ◽  
Down Quark ◽  
Mass Matrices ◽  
Renormalization Group Equations ◽  
Flavor Mixing ◽  
Good Agreement

We propose a simple but realistic pattern of quark mass matrices at the string scale, which can be derived from orbifold models of superstring theory with no use of gauge symmetries. This pattern is left–right symmetric and preserves the structural parallelism between up and down quark sectors. Its phenomenological consequences on flavor mixing and CP-violation are confronted with current experiments at the weak scale by using the renormalization group equations in the framework of minimal supersymmetric standard model. We find that good agreement is achievable without fine-tuning.

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